In the double-slit experiment using a HeNe laser, the position of the first bright fringe can be calculated using the formula for the interference pattern, considering the wavelength of the laser, slit separation, and the distance to the screen.
The question refers to a double-slit experiment with a HeNe laser, where the interference pattern on a screen needs to be found. We can calculate the position of the bright spots on the screen using the formula d × sin(\theta) = m × \lambda, where d is the slit separation, \theta is the angle to the m-th order maximum, m is the order of the maximum, and \lambda is the wavelength of the laser light.
To find the position of the first bright spot (m=1) from the center, we can use the small angle approximation where tan(\theta) \approx sin(\theta) \approx \theta because the slits are far away from the screen (1.5m). Therefore, \theta = y/L where y is the distance from the central maximum to the first order bright spot, and L is the distance to the screen.
Now we can solve for y: y = L × \lambda/d. Plugging in the given values, y = 1.5m × (6.33 × 10-7m) / (0.5 × 10-3m), we get the position of the first bright spot.